Theorems · Theorem · commutative algebra
Subsemiring.rangeS_subtype
∀ {R : Type u} [inst : NonAssocSemiring R] (s : Subsemiring R), s.subtype.rangeS = s- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonAssocSemiringstatement and proof · cited by 805
- Subsemiringstatement and proof · cited by 456
- SetLike.coe_injectiveproof · cited by 374
- Subtype.range_coeproof · cited by 98
- RingHom.rangeSstatement and proof · cited by 47
- Subsemiring.subtypestatement and proof · cited by 11
- RingHom.coe_rangeSproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Subalgebra.rangeS_algebraMapproof · cited by 1